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http://hdl.handle.net/1942/14536
Title: | Alien limit cycles in Lienard equations | Authors: | Coll, B. DUMORTIER, Freddy Prohens, R. |
Issue Date: | 2013 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | JOURNAL OF DIFFERENTIAL EQUATIONS, 254 (3), p. 1582-1600 | Abstract: | This paper aims at providing an example of a family of polynomial Lienard equations exhibiting an alien limit cycle. This limit cycle is perturbed from a 2-saddle cycle in the boundary of an annulus of periodic orbits given by a Hamiltonian vector field. The Hamiltonian represents a truncated pendulum of degree 4. In comparison to a former polynomial example, not only the equations are simpler but a lot of tedious calculations can be avoided, making the example also interesting with respect to simplicity in treatment. (C) 2012 Elsevier Inc. All rights reserved. | Notes: | [Coll, B.; Prohens, R.] Univ Illes Balears, Dept Matemat & Informat, Palma De Mallorca 07122, Illes Balears, Spain. [Dumortier, F.] Univ Hasselt, Dept Wiskunde, B-3590 Diepenbeek, Belgium. | Keywords: | Planar vector field; Lienard equation; Hamiltonian perturbation; Limit cycle; Abelian integral; 2-Saddle cycle;Mathematics; planar vector field; Lienard equation; Hamiltonian perturbation; limit cycle; Abelial integral; 2-saddle cycle | Document URI: | http://hdl.handle.net/1942/14536 | ISSN: | 0022-0396 | e-ISSN: | 1090-2732 | DOI: | 10.1016/j.jde.2012.11.005 | ISI #: | 000312574500025 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2014 |
Appears in Collections: | Research publications |
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